use std::any::Any;
use std::cell::RefCell;
use std::rc::Rc;

struct ArrayList {
    data: RefCell<Vec<Option<Rc<dyn Any>>>>,
    length: RefCell<usize>,
}

impl ArrayList {
    fn new(capacity: usize) -> Rc<ArrayList> {
        Rc::new(ArrayList {
            data: RefCell::new(Vec::with_capacity(capacity)),
            length: RefCell::new(0),
        })
    }

    fn append(&self, item: Rc<dyn Any>) -> bool {
        self.data.borrow_mut().push(Some(item));
        *self.length.borrow_mut() += 1;
        true
    }

    fn prepend(&self, item: Rc<dyn Any>) -> bool {
        self.data.borrow_mut().insert(0, Some(item));
        *self.length.borrow_mut() += 1;
        true
    }

    fn insert(&self, index: usize, item: Rc<dyn Any>) -> bool {
        if index > *self.length.borrow() {
            false
        } else {
            self.data.borrow_mut().insert(index, Some(item));
            *self.length.borrow_mut() += 1;
            true
        }
    }

    fn remove(&self, index: usize) -> bool {
        if index >= *self.length.borrow() {
            false
        } else {
            self.data.borrow_mut().remove(index);
            *self.length.borrow_mut() -= 1;
            true
        }
    }

    fn remove_range(&self, start: usize, length: usize) {
        if start + length <= *self.length.borrow() {
            self.data.borrow_mut().drain(start..start + length);
            *self.length.borrow_mut() -= length;
        }
    }

    fn index_of(&self, item: &dyn Any, compare: fn(&dyn Any, &dyn Any) -> bool) -> isize {
        for (index, entry) in self.data.borrow().iter().enumerate() {
            if let Some(entry) = entry {
                if compare(entry.as_ref(), item) {
                    return index as isize;
                }
            }
        }
        -1
    }

    fn clear(&self) {
        self.data.borrow_mut().clear();
        *self.length.borrow_mut() = 0;
    }

    fn sort(&self, compare: fn(&dyn Any, &dyn Any) -> std::cmp::Ordering) {
        let mut data = self.data.borrow_mut();
        data.sort_by(|a, b| compare(a.as_ref().unwrap(), b.as_ref().unwrap()));
    }
}

fn main() {
    let _arraylist = ArrayList::new(0);

    // Test cases
    // You can add your test cases here to verify the functionality of each method
}